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1107074104074 = 2321729429729033
BaseRepresentation
bin10000000111000010110…
…000100011101100001010
310220211112220020111012100
4100013002300203230022
5121114241432312244
62204325520054230
7142661220422451
oct20070260435412
93824486214170
101107074104074
1139756451a0a4
1215a684a64376
1380520558a83
143b822bd3b98
151dbe6a56b69
hex101c2c23b0a

1107074104074 has 96 divisors (see below), whose sum is σ = 2628038059920. Its totient is φ = 335251316736.

The previous prime is 1107074104069. The next prime is 1107074104093. The reversal of 1107074104074 is 4704014707011.

1107074104074 is a `hidden beast` number, since 110 + 70 + 74 + 1 + 0 + 407 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 665214778449 + 441859325625 = 815607^2 + 664725^2 .

It is a super-2 number, since 2×11070741040742 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38117062 + ... + 38146094.

Almost surely, 21107074104074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1107074104074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314019029960).

1107074104074 is an abundant number, since it is smaller than the sum of its proper divisors (1520963955846).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1107074104074 is a wasteful number, since it uses less digits than its factorization.

1107074104074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33384 (or 33381 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The spelling of 1107074104074 in words is "one trillion, one hundred seven billion, seventy-four million, one hundred four thousand, seventy-four".

Divisors: 1 2 3 6 9 17 18 29 34 51 58 87 102 153 174 261 306 493 522 986 1479 2958 4297 4437 8594 8874 12891 25782 29033 38673 58066 73049 77346 87099 124613 146098 174198 219147 249226 261297 373839 438294 493561 522594 657441 747678 841957 987122 1121517 1314882 1480683 1683914 2118421 2243034 2525871 2961366 4236842 4442049 5051742 6355263 7577613 8884098 12710526 14313269 15155226 19065789 28626538 38131578 42939807 85879614 124754801 128819421 249509602 257638842 374264403 748528806 1122793209 2120831617 2245586418 3617889229 4241663234 6362494851 7235778458 10853667687 12724989702 19087484553 21707335374 32561003061 38174969106 61504116893 65122006122 123008233786 184512350679 369024701358 553537052037 1107074104074